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Let the present value from production be equal to V = 100, and this value can move either up or down in the next period

Let the present value from production be equal to V = 100, and this value can move either up or down in the next period (t=1) to V = 130 and V = 77. Suppose that at t=1 management has the option to invest 80 million in order to double the value of production. The risk free rate is 2%. You only have to consider the given periods. What is the value of this option?

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